How to completely delete a very small area, the eyes do not look at it, you can see the picture after zooming in.

Enlarged area:

Answer 1

[Image Analyst]

I had a more complete answer made up before you deleted your question. So all I'll say now is to use bwareaopen() or bwareafilt().

minAcceptableArea = 100; % pixels or whatever.
binaryImage = bwareaopen(binaryImage, minAcceptableArea); % Keep blobs 100 or larger
% OR
binaryImage = bwareafilt(binaryImage, [minAcceptableArea, inf]); % Keep blobs 100 or larger
% Another option if you know how many blobs to expect
binaryImage = bwareaopen(binaryImage, 10); % Keep the 10 largest blobs.